Answer:
x=3
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
3x(x+1) = 4x(x)
Divide each side by x
3x(x+1)/x = 4x(x)/x
3(x+1) = 4x
Distribute
3x+3 = 4x
Subtract 3x
3x+3-3x= 4x-3x
3 =x
Answer:
distance down wind
d - 6 = distance back
time = distance ÷ speed
x = d/20
x = (d - 6)/(16)
so d/20 = (d - 6)/16. Cross multiply
20d - 120 = 16d
-120 = -4d
30 = d so the whole trip assuming the bird gets back to the starting point is 60 miles
Answer:
x = -1
Step-by-step explanation:
The vertex is halfway between the focus and the directrix.
So here the directrix is a vertical line to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)
It is x = -1.
Answer:
The medals can be awarded in 1,320 possible ways.
Step-by-step explanation:
Given that a gold, a silver, and a bronze medal are awarded in an Olympic event, to determine in how many possible ways can the medals be awarded for a 200-meter sprint in which there are 12 runners, the following calculation must be performed:
12 x 11 x 10 = X
12 x 110 = X
1,320 = X
Therefore, the medals can be awarded in 1,320 possible ways.